# Long Division Calculator with Remainders

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## Calculator Use

Divide two numbers, a dividend and a divisor, and find the answer as a quotient with a remainder. Learn how to solve long division with remainders, or rehearse your own long division problems and use this calculator to check your answers .
retentive part with remainders is one of two methods of doing long division by pass. It is slightly easier than solving a class trouble by finding a quotient answer with a decimal. If you need to do long division with decimals use our long division with Decimals Calculator .

## What Are the Parts of Division

For the division conviction 487 ÷ 32 = 15 R 7

• 487 is the dividend
• 32 is the divisor
• 15 is the quotient part of the answer
• 7 is the remainder part of the answer ## How to do Long Division With Remainders

From the exercise above let ‘s divide 487 by 32 showing the work .
Long Division
Step-by-Step Set up the division problem with the long division symbol or the retentive division bracket.

Put 487, the dividend, on the inside of the bracket. The dividend is the act you ‘re dividing.
Put 32, the divisor, on the outside of the bracket. The divisor is the count you ‘re dividing by .
Divide the first gear number of the dividend, 4 by the divisor, 32.

4 divided by 32 is 0, with a end of 4. You can ignore the remainder for now . Put the 0 on crown of the division bracket.
This is the begin of the quotient answer.

Next, reproduce 0 by the divisor 32 and insert the result 0 below the first number of the dividend inside the bracket.

0 * 32 = 0 Draw a line under the 0 and subtract 0 from 4.

4 – 0 = 4 Bring down the next act of the dividend and insert it after the 4 thus you have 48. divide 48 by the divisor, 32. The answer is 1. You can ignore the remainder for now.

48 ÷ 32 = 1

Note that you could skip all of the previous steps with zeros and jump uncoiled to this step. You equitable need to realize how many digits in the dividend you need to skip over to get your foremost non-zero prize in the quotient answer. In this shell you could divide 32 into 48 straight away . Put the 1 on clear of the division bar, to the correct of the 0. adjacent, breed 1 by 32 and write the answer under 48.

1 * 32 = 32 Draw a production line and subtract 32 from 48.

48 – 32 = 16 Bring down the next number from the dividend and insert it after the 16 indeed you have 167 . divide 167 by the 32. See a blueprint emerging ?

167 ÷ 32 is 5 with a remainder of 7 Put the 5 on top of the division prevention, to the right of the 1. Multiply 5 by 32 and write the answer under 167.

5 * 32 = 160 Draw a tune and subtract 160 from 167.

167 – 160 = 7
Since 7 is less than 32 your farseeing division is done. You have your answer : The quotient is 15 and the remainder is 7.

So, 487 ÷ 32 = 15 with a end of 7

For longer dividends, you would continue repeating the division and generation steps until you bring down every finger from the divdend and solve the problem.